20153952 has 144 divisors (see below), whose sum is σ = 70630560. Its totient is φ = 5308416.

The previous prime is 20153951. The next prime is 20153963. The reversal of 20153952 is 25935102.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20153951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25824 + ... + 26592.

It is an arithmetic number, because the mean of its divisors is an integer number (490490).

Almost surely, 2^20153952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20153952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35315280).

20153952 is an abundant number, since it is smaller than the sum of its proper divisors (50476608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20153952 is a wasteful number, since it uses less digits than its factorization.

20153952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 20153952 is about 4489.3153152792. The cubic root of 20153952 is about 272.1364655476.

The spelling of 20153952 in words is "twenty million, one hundred fifty-three thousand, nine hundred fifty-two".